Springer Theses

Graphs in Perturbation Theory

Algebraic Structure and Asymptotics

Authors: Borinsky, Michael

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  • Nominated as an outstanding Ph.D. thesis by the Humboldt-University in Berlin, Germany
  • Represents a breakthrough in the field of asymptotic analysis to answer asymptotic questions
  • Includes numerous concrete examples
  • Presents a basic introduction into Hopf algebraic techniques for renormalization
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-030-03541-9
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  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-03540-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory. Starting with an exposition of the Hopf algebra structure of generic graphs, it reviews and summarizes the existing literature. It then applies this Hopf algebraic structure to the combinatorics of graphical enumeration for the first time, and introduces a novel method of asymptotic analysis to answer asymptotic questions. This major breakthrough has combinatorial applications far beyond the analysis of graphical enumeration. The book also provides detailed examples for the asymptotics of renormalizable quantum field theories, which underlie the Standard Model of particle physics. A deeper analysis of such renormalizable field theories reveals their algebraic lattice structure. The pedagogical presentation allows readers to apply these new methods to other problems, making this thesis a future classic for the study of asymptotic problems in quantum fields, network theory and far beyond.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-030-03541-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-03540-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Graphs in Perturbation Theory
Book Subtitle
Algebraic Structure and Asymptotics
Authors
Series Title
Springer Theses
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-03541-9
DOI
10.1007/978-3-030-03541-9
Hardcover ISBN
978-3-030-03540-2
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XVIII, 173
Number of Illustrations
20 b/w illustrations, 3 illustrations in colour
Topics